Survey/introduction:
Mukai, Shigeru. "New developments in the theory of Fano threefolds: vector bundle method and moduli problems." Sugaku Expositions 15, no. 2 (2002): 125-150. pdf
Lecture notes:
Mukai, Shigeru. "Classification of indecomposable Gorenstein Fano 3-folds" (draft) pdf
Mukai's research announcement:
Mukai, Shigeru. "Biregular classification of Fano 3-folds and Fano manifolds of coindex 3." Proceedings of the National Academy of Sciences 86, no. 9 (1989): 3000-3002. pdf
Also useful:
Coates, Tom, Alessio Corti, Sergey Galkin, and Alexander Kasprzyk. "Quantum periods for 3–dimensional Fano manifolds." Geometry & Topology 20, no. 1 (2016): 103-256. pdf
Bayer, Arend, Martí Lahoz, Emanuele Macrì, and Paolo Stellari. "Stability conditions on Kuznetsov components." arXiv preprint arXiv:1703.10839 (2017). arXiv
Li, Chunyi. "Stability conditions on Fano threefolds of Picard number one." arXiv preprint arXiv:1510.04089 (2015). arXiv
Papers:
Mukai, Shigeru. "Curves, K3 surfaces and Fano 3-folds of genus≤ 10." In Algebraic geometry and commutative algebra, pp. 357-377. Academic Press, 1988. pdf
Mukai, Shigeru. "Fano 3—folds." Complex Projective Geometry: Selected Papers 179 (1992): 255. pdf
Mukai, Shigeru. "Curves and grassmannians." Algebraic geometry and related topics (1992): 19-40. pdf
Mukai, Shigeru. "Curves and symmetric spaces." Proceedings of the Japan Academy, Series A, Mathematical Sciences 68, no. 1 (1992): 7-10. pdf
Mukai, Shigeru. "Curves and symmetric spaces, I." American Journal of Mathematics 117, no. 6 (1995): 1627-1644. pdf
Mukai, Shigeru. "Curves and symmetric spaces, II." Annals of Mathematics (2010): 1539-1558. pdf
Ide, Manabu, and Shigeru Mukai. "Canonical curves of genus eight." Proceedings of the Japan Academy, Series A, Mathematical Sciences 79, no. 3 (2003): 59-64. pdf
Ide, Manabu. "Every curve of genus not greater than eight lies on a K3 surface." Nagoya Mathematical Journal 190 (2008): 183-197. pdf
Moduli space of vector bundles on K3 surfaces:
Mukai, Shigeru. "Moduli of vector bundles on K3 surfaces, and symplectic manifolds." Sugaku Expositions 1, no. 2 (1988): 138-174. pdf
Mukai, Shigeru. "On the moduli space of bundles on K3 surfaces. I." Vector bundles on algebraic varieties (Bombay, 1984) 11 (1984): 341-413. pdf
Mukai, Shigeru. "Symplectic structure of the moduli space of sheaves on an abelian or K3 surface." Inventiones mathematicae 77, no. 1 (1984): 101-116. https://doi.org/10.1007/BF01389137
We will cover everything we need during the reading seminar.